Work

Equivariant cohomology of juggling varieties in rank one

Year: 2026

Type: article

Abstract: We determine the ring structure of the torus-equivariant cohomology of rank-one juggling varieties with rational coefficients. By realizing these varieties as cyclic quiver Grassmannians, we construct a Knutson--Tao type basis for their equivariant cohomology. Using this basis, we give an explicit description of the ring structure in terms of generators and relations, and compute the corresponding structure constants. Finally, we show that these structure constants are integral.

Source: Bulletin des Sciences Mathématiques

DOI: 10.1016/j.bulsci.2026.103831

Author: Bidhan Paul

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,690

Funders: Israel Science Foundation, Tel Aviv University

Award: G2182570524